The generator matrix 1 0 0 0 0 0 1 1 1 0 1 2 1 2 1 1 1 1 1 1 2 1 1 1 1 1 0 0 0 1 0 1 0 1 0 0 2 2 1 2 2 0 0 0 1 0 2 0 1 1 1 1 1 1 2 1 2 2 1 1 2 1 1 2 1 1 1 0 1 2 0 1 0 2 1 1 1 1 2 2 0 2 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 0 3 2 0 2 3 1 1 2 1 3 2 3 1 1 1 3 2 0 0 2 1 1 1 2 0 0 1 1 0 1 1 2 1 2 3 2 1 3 1 0 2 3 1 1 1 2 2 0 2 1 1 0 1 2 3 1 2 2 0 1 1 0 2 0 1 1 1 2 1 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 3 3 2 1 0 1 3 1 1 2 1 2 0 3 3 3 0 0 1 1 0 0 1 3 0 2 2 0 2 2 1 3 2 3 0 1 1 0 0 2 3 3 2 1 2 1 2 1 0 1 2 1 0 2 3 0 3 1 0 3 1 2 1 3 2 2 1 3 3 3 2 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 3 1 3 2 0 2 3 0 0 0 3 1 3 2 3 0 1 1 0 2 0 2 1 1 3 2 2 2 3 1 1 1 2 2 0 0 2 3 3 2 0 1 1 2 0 1 0 1 1 1 0 0 1 1 3 2 2 0 3 2 1 3 1 3 2 2 2 3 0 3 3 1 3 2 2 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2 2 1 1 0 3 2 1 2 2 1 3 0 1 3 1 1 2 3 0 0 1 1 2 1 0 2 1 0 3 0 1 1 2 1 1 1 0 2 1 2 1 2 0 3 1 1 3 3 3 0 0 0 0 3 3 0 1 1 3 1 1 1 1 0 3 3 0 2 1 3 3 1 1 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 3 2 1 2 0 1 3 0 3 1 0 3 3 1 2 3 0 2 3 0 1 3 1 3 1 3 1 0 2 1 0 0 0 1 3 2 1 2 3 3 0 3 3 0 2 1 1 2 2 0 0 3 3 1 1 0 0 3 2 1 1 2 1 1 0 0 0 3 3 1 3 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 0 0 0 2 2 2 0 2 0 0 0 2 2 2 2 2 2 0 2 2 2 0 0 2 2 0 0 0 2 2 2 0 0 0 0 2 0 0 0 2 0 0 2 2 2 0 0 2 0 0 2 2 0 0 2 2 0 2 0 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 2 0 2 2 2 2 0 0 0 2 0 0 0 0 2 0 0 2 2 0 2 0 0 0 2 0 2 0 2 2 0 2 2 0 2 0 2 2 0 2 0 2 2 0 0 0 2 2 0 2 0 2 2 2 0 2 0 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 generates a code of length 89 over Z4 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+57x^70+145x^72+249x^74+78x^75+322x^76+250x^77+388x^78+412x^79+466x^80+510x^81+548x^82+718x^83+638x^84+756x^85+689x^86+934x^87+613x^88+950x^89+705x^90+834x^91+567x^92+852x^93+570x^94+658x^95+549x^96+540x^97+572x^98+352x^99+380x^100+198x^101+302x^102+96x^103+203x^104+40x^105+111x^106+10x^107+59x^108+26x^110+4x^111+22x^112+6x^114+2x^116+1x^120+1x^122 The gray image is a code over GF(2) with n=178, k=14 and d=70. This code was found by Heurico 1.16 in 100 seconds.